{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Wasserstein Discriminant Analysis\n",
    "\n",
    "\n",
    "This example illustrate the use of WDA as proposed in [11].\n",
    "\n",
    "\n",
    "[11] Flamary, R., Cuturi, M., Courty, N., & Rakotomamonjy, A. (2016).\n",
    "Wasserstein Discriminant Analysis.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/rflamary/.local/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "source": [
    "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
    "#\n",
    "# License: MIT License\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pylab as pl\n",
    "\n",
    "from ot.dr import wda, fda"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate data\n",
    "-------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#%% parameters\n",
    "\n",
    "n = 1000  # nb samples in source and target datasets\n",
    "nz = 0.2\n",
    "\n",
    "# generate circle dataset\n",
    "t = np.random.rand(n) * 2 * np.pi\n",
    "ys = np.floor((np.arange(n) * 1.0 / n * 3)) + 1\n",
    "xs = np.concatenate(\n",
    "    (np.cos(t).reshape((-1, 1)), np.sin(t).reshape((-1, 1))), 1)\n",
    "xs = xs * ys.reshape(-1, 1) + nz * np.random.randn(n, 2)\n",
    "\n",
    "t = np.random.rand(n) * 2 * np.pi\n",
    "yt = np.floor((np.arange(n) * 1.0 / n * 3)) + 1\n",
    "xt = np.concatenate(\n",
    "    (np.cos(t).reshape((-1, 1)), np.sin(t).reshape((-1, 1))), 1)\n",
    "xt = xt * yt.reshape(-1, 1) + nz * np.random.randn(n, 2)\n",
    "\n",
    "nbnoise = 8\n",
    "\n",
    "xs = np.hstack((xs, np.random.randn(n, nbnoise)))\n",
    "xt = np.hstack((xt, np.random.randn(n, nbnoise)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot data\n",
    "---------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 460.8x252 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% plot samples\n",
    "pl.figure(1, figsize=(6.4, 3.5))\n",
    "\n",
    "pl.subplot(1, 2, 1)\n",
    "pl.scatter(xt[:, 0], xt[:, 1], c=ys, marker='+', label='Source samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Discriminant dimensions')\n",
    "\n",
    "pl.subplot(1, 2, 2)\n",
    "pl.scatter(xt[:, 2], xt[:, 3], c=ys, marker='+', label='Source samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Other dimensions')\n",
    "pl.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute Fisher Discriminant Analysis\n",
    "------------------------------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#%% Compute FDA\n",
    "p = 2\n",
    "\n",
    "Pfda, projfda = fda(xs, ys, p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute Wasserstein Discriminant Analysis\n",
    "-----------------------------------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compiling cost function...\n",
      "Computing gradient of cost function...\n",
      " iter\t\t   cost val\t    grad. norm\n",
      "    1\t+8.1744675052927340e-01\t5.18943290e-01\n",
      "    2\t+4.6574082332790778e-01\t1.98300827e-01\n",
      "    3\t+4.4912307637701449e-01\t1.38157890e-01\n",
      "    4\t+4.4030490938831912e-01\t7.00834944e-02\n",
      "    5\t+4.3780885707533013e-01\t4.35903168e-02\n",
      "    6\t+4.3753767094086027e-01\t5.81158060e-02\n",
      "    7\t+4.3658534767678403e-01\t4.44189462e-02\n",
      "    8\t+4.3516262357849916e-01\t4.15971448e-02\n",
      "    9\t+4.3332622549435446e-01\t7.82365182e-02\n",
      "   10\t+4.2847338855201011e-01\t5.28789263e-02\n",
      "   11\t+4.1510883118208680e-01\t6.83664317e-02\n",
      "   12\t+4.1332168544999542e-01\t1.01013343e-01\n",
      "   13\t+4.0818672134323475e-01\t5.07935089e-02\n",
      "   14\t+4.0502824759368472e-01\t9.56110665e-02\n",
      "   15\t+3.9786250825732905e-01\t6.68177888e-02\n",
      "   16\t+3.5518514892526853e-01\t2.01958719e-01\n",
      "   17\t+2.5048183658126072e-01\t1.82260477e-01\n",
      "   18\t+2.4055179583813954e-01\t1.48301002e-01\n",
      "   19\t+2.2127351995549377e-01\t1.77690944e-02\n",
      "   20\t+2.2106865089529223e-01\t6.44501056e-03\n",
      "   21\t+2.2105965534255226e-01\t5.35361879e-03\n",
      "   22\t+2.2104056962319110e-01\t3.63028924e-04\n",
      "   23\t+2.2104051220659457e-01\t2.27022248e-04\n",
      "   24\t+2.2104049071158929e-01\t1.43369832e-04\n",
      "   25\t+2.2104048094656506e-01\t7.87652127e-05\n",
      "   26\t+2.2104047690862835e-01\t1.39217014e-05\n",
      "   27\t+2.2104047689800282e-01\t1.33400288e-05\n",
      "   28\t+2.2104047685931880e-01\t1.09433285e-05\n",
      "   29\t+2.2104047677977950e-01\t3.27906935e-07\n",
      "Terminated - min grad norm reached after 29 iterations, 8.50 seconds.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#%% Compute WDA\n",
    "p = 2\n",
    "reg = 1e0\n",
    "k = 10\n",
    "maxiter = 100\n",
    "\n",
    "Pwda, projwda = wda(xs, ys, p, reg, k, maxiter=maxiter)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot 2D projections\n",
    "-------------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% plot samples\n",
    "\n",
    "xsp = projfda(xs)\n",
    "xtp = projfda(xt)\n",
    "\n",
    "xspw = projwda(xs)\n",
    "xtpw = projwda(xt)\n",
    "\n",
    "pl.figure(2)\n",
    "\n",
    "pl.subplot(2, 2, 1)\n",
    "pl.scatter(xsp[:, 0], xsp[:, 1], c=ys, marker='+', label='Projected samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Projected training samples FDA')\n",
    "\n",
    "pl.subplot(2, 2, 2)\n",
    "pl.scatter(xtp[:, 0], xtp[:, 1], c=ys, marker='+', label='Projected samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Projected test samples FDA')\n",
    "\n",
    "pl.subplot(2, 2, 3)\n",
    "pl.scatter(xspw[:, 0], xspw[:, 1], c=ys, marker='+', label='Projected samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Projected training samples WDA')\n",
    "\n",
    "pl.subplot(2, 2, 4)\n",
    "pl.scatter(xtpw[:, 0], xtpw[:, 1], c=ys, marker='+', label='Projected samples')\n",
    "pl.legend(loc=0)\n",
    "pl.title('Projected test samples WDA')\n",
    "pl.tight_layout()\n",
    "\n",
    "pl.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
